Further Maths complex numbers quiz to download as PDF

This Further Maths complex numbers quiz has 10 short questions for pupils aged 16-18. Type your answer, check it straight away and read the explanation when you get one wrong.

Further Maths complex numbers quiz: the 10 questions

What is \(i^3\)?
Find \(|3-4i|\).
Find \(\arg(i)\).
Conjugate of \(5-2i\)?
Roots of \(z^2+4=0\)?
Find \((2+i)^2\).
If \(|z_1|=2\) and \(|z_2|=5\), find \(|z_1z_2|\).
What shape is \(|z-a|=r\)?
Simplify \(\dfrac{4}{1+i}\) in the form a+bi.
Find the argument of \(-3\).

How to use this Further Maths complex numbers quiz

First, answer every question without a calculator unless the question says so. Then check your answer and read the short explanation. If you get fewer than 7 right, revise the complex numbers lesson and try again later. After that, try the multiple choice questions or the complex numbers worksheet.

Finally, take this quiz again before a test, because quick retrieval helps you remember. Moreover, all the pages of this chapter work together, so you can move between them at any time. For example, many pupils read the lesson on Monday, practise on Wednesday and test themselves on Friday.